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22431144010272 = 253233657750107
BaseRepresentation
bin1010001100110101010000…
…10111101110001000100000
32221102101200222211101001120
411012122220113232020200
510420002440331312042
6115412420355332240
74503411442112514
oct506325027561040
987371628741046
1022431144010272
117168aa4019088
1226233808b1080
13c6932b56b18a
1457795d232144
1528d743a11dec
hex1466a85ee220

22431144010272 has 24 divisors (see below), whose sum is σ = 58881753027216. Its totient is φ = 7477048003392.

The previous prime is 22431144010271. The next prime is 22431144010273. The reversal of 22431144010272 is 27201044113422.

It is an interprime number because it is at equal distance from previous prime (22431144010271) and next prime (22431144010273).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×224311440102722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22431144010271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116828874958 + ... + 116828875149.

It is an arithmetic number, because the mean of its divisors is an integer number (2453406376134).

Almost surely, 222431144010272 is an apocalyptic number.

It is an amenable number.

22431144010272 is an abundant number, since it is smaller than the sum of its proper divisors (36450609016944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22431144010272 is a wasteful number, since it uses less digits than its factorization.

22431144010272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233657750120 (or 233657750112 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 22431144010272 its reverse (27201044113422), we get a palindrome (49632188123694).

The spelling of 22431144010272 in words is "twenty-two trillion, four hundred thirty-one billion, one hundred forty-four million, ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233657750107 467315500214 700973250321 934631000428 1401946500642 1869262000856 2803893001284 3738524001712 5607786002568 7477048003424 11215572005136 22431144010272